Atkin-Lehner |
2- 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
3850y |
Isogeny class |
Conductor |
3850 |
Conductor |
∏ cp |
162 |
Product of Tamagawa factors cp |
deg |
194400 |
Modular degree for the optimal curve |
Δ |
-5656626483200000000 = -1 · 218 · 58 · 73 · 115 |
Discriminant |
Eigenvalues |
2- 1 5- 7- 11+ 2 3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-12893013,17818146017] |
[a1,a2,a3,a4,a6] |
j |
-606773969327363726065/14480963796992 |
j-invariant |
L |
4.0059092977369 |
L(r)(E,1)/r! |
Ω |
0.22255051654094 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
30800cm1 123200dq1 34650ce1 3850b1 |
Quadratic twists by: -4 8 -3 5 |